<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">zldm</journal-id><journal-title-group><journal-title xml:lang="ru">Заводская лаборатория. Диагностика материалов</journal-title><trans-title-group xml:lang="en"><trans-title>Industrial laboratory. Diagnostics of materials</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1028-6861</issn><issn pub-type="epub">2588-0187</issn><publisher><publisher-name>ООО «Издательство «ТЕСТ-ЗЛ»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26896/1028-6861-2024-90-6-59-75</article-id><article-id custom-type="elpub" pub-id-type="custom">zldm-2230</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ИССЛЕДОВАНИЕ СТРУКТУРЫ И СВОЙСТВ. МЕХАНИКА МАТЕРИАЛОВ: ПРОЧНОСТЬ, РЕСУРС, БЕЗОПАСНОСТЬ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>TESTING OF STRUCTURE AND PARAMETERS. MECHANICAL TESTING METHODS</subject></subj-group></article-categories><title-group><article-title>Поля остаточных напряжений в окрестности заполненных монтажных отверстий панели крыла самолета</article-title><trans-title-group xml:lang="en"><trans-title>Fields of residual stresses near filled assemblage holes of the aircraft wing panel</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Елеонский</surname><given-names>С. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Eleonsky</surname><given-names>S. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Святослав Игоревич Елеонский,</p><p>140180, Московская область, г. Жуковский, ул. Жуковского, д. 1.</p></bio><bio xml:lang="en"><p>Svyatoslav I. Eleonsky, </p><p>1, Zhukovskogo ul., Zhukovsky, Moscow obl., 140180.</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Зайцев</surname><given-names>М. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Zaitsev</surname><given-names>M. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Михаил Дмитриевич Зайцев,</p><p>140180, Московская область, г. Жуковский, ул. Жуковского, д. 1.</p></bio><bio xml:lang="en"><p>Mikhail D. Zaitsev,</p><p>1, Zhukovskogo ul., Zhukovsky, Moscow obl., 140180.</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Матвиенко</surname><given-names>Ю. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Matvienko</surname><given-names>Yu. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Юрий Григорьевич Матвиенко,</p><p>101000, Москва, Малый Харитоньевский пер., д. 4.</p></bio><bio xml:lang="en"><p>Yury G. Matvienko, </p><p>4, Malyi Kharitonyevsky per., Moscow, 101000.</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Писарев</surname><given-names>В. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Pisarev</surname><given-names>V. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Владимир Сергеевич Писарев,</p><p>140180, Московская область, г. Жуковский, ул. Жуковского, д. 1.</p></bio><bio xml:lang="en"><p>Vladimir S. Pisarev,</p><p>1, Zhukovskogo ul., Zhukovsky, Moscow obl., 140180.</p></bio><email xlink:type="simple">VSP5335@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Центральный аэрогидродинамический институт имени профессора Н. Е. Жуковского</institution><country>Россия</country></aff><aff xml:lang="en"><institution>N. E. Zhukovsky Central AeroHydrodynamics Institute</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт машиноведения им. А. А. Благонравова РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Mechanical Engineering Research Institute of the Russian Academy of Science</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>23</day><month>06</month><year>2024</year></pub-date><volume>90</volume><issue>6</issue><fpage>59</fpage><lpage>75</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Елеонский С.И., Зайцев М.Д., Матвиенко Ю.Г., Писарев В.С., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Елеонский С.И., Зайцев М.Д., Матвиенко Ю.Г., Писарев В.С.</copyright-holder><copyright-holder xml:lang="en">Eleonsky S.I., Zaitsev M.D., Matvienko Y.G., Pisarev V.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.zldm.ru/jour/article/view/2230">https://www.zldm.ru/jour/article/view/2230</self-uri><abstract><p>Проведены испытания на сопротивление усталости двух геометрически одинаковых конструктивно подобных моделей нижней панели крыла коммерческого самолета. Панели отличались способом установки монтажных болтов, соединяющих обшивку и стрингер. В первой панели перед монтажом обшивки и стрингера выполняли холодное упрочнение отверстий. Во второй панели после сверления и развертывания дополнительную обработку отверстий не проводили. Болты устанавливали с натягом в пределах от 1,3 до 2,1 % для первой панели и от 2,9 до 3,2 % — для второй панели. Вариации в значениях натяга вызваны наличием полей допуска на диаметры как болтов, так и монтажных отверстий. Сравнение указанных технологий проведено на основе исследования полей остаточных напряжений. Выполнен анализ величин компонент остаточных напряжений в окрестности монтажных отверстий в обшивке, которые заполнены болтами с натягом. Компоненты остаточных напряжений определяли на основе метода сверления отверстия и метода последовательного наращивания длины трещины (ПНДТ). Деформационный отклик измеряли методом электронной спекл-интерферометрии. Первый (дискретный) метод, основанный на сверлении зондирующего отверстия, дает возможность количественно определять компоненты остаточных напряжений, начиная с расстояния 1,1 мм от контура монтажного отверстия. Второй (непрерывный) метод заключается в последовательном наращивании длины искусственного надреза. Разработан новый вариант метода ПНДТ, который обеспечивает определение параметров механики разрушения для надрезов, распространяющихся в зоне контактного взаимодействия. Он состоит в том, что в середине расстояния между исследуемыми монтажными отверстиями выполняют исходное сквозное отверстие, от контура которого и начинается последовательность искусственных надрезов. Конечной точкой этой последовательности является внешний контур болта. Такой подход обеспечивает анализ полей остаточных напряжений, возникающих при двух технологиях установки болтов, путем сравнения величин КИН. Оба экспериментальных подхода выявляют преимущества соединения с болтами, установленными в упрочненное отверстие. Обоснована и наглядно продемонстрирована высокая эффективность и надежность методов определения остаточных напряжений, использующих оптико-интерференционные измерения деформационного отклика на локальное удаление материала. Эти методы основаны на получении интерферограмм высокого качества, которые обеспечивают разрешение интерференционных полос предельной плотности непосредственно на контуре зондирующего отверстия или на берегах искусственного надреза.</p></abstract><trans-abstract xml:lang="en"><p>Fatigue tests of two geometrically identical and similar in design models of the lower wing panel of a commercial aircraft were performed. The models differ in the way of mounting bolts which join the skin and stringers. Cold expansion of holes drilled both in the skin and stringer has been performed for the first panel before joining. No additional treatment of holes was performed in the second panel after drilling pilot holes and final reaming. Bolts are mounted with the interference fit ranging from 1.3 to 2.1% and from 2.9 to 3.2% for the first and the second panel, respectively. The range of the interference fit values is attributed to the tolerance fields for the diameters of bolts and assemblage holes. A comparison of both technologies proceeded from the experimental study of residual stress fields. The second stage, which is the subject of present paper, includes the analysis of the values of residual stress components in the vicinity of skin holes filled by bolts mounted with the interference fit. The components of residual stressed were determined using the method of hole drilling and successive cracking (crack compliance) method. The deformation response was measured by electronic speckle-pattern interferometry. The first point-wise method, based on drilling a probe hole, provides the quantitative determination of residual stress components, starting from a distance of 1.1 mm from the assemblage hole edge. The second technique consists in successive extension of the notch length. A new version of the crack compliance technique providing the determination of fracture mechanics parameters for notches propagating in the contact zone has been developed. The essence of this approach consists in drilling the initial hole equidistant from two assemblage holes of interest. The edge of this through hole is a starting point of the sequence of artificial notches, the end point of this sequence is the outer contour of the bolt. This approach provides quantitative analysis of residual stress fields proceeding from the comparison of the values of stress intensity factors (SIF) related to different technologies of bolt mounting. Two experimental approaches reveal advantages of joining with bolts mounted into cold-expanded holes. The high efficiency and accuracy of the methods for residual stress determination which employ optical interferometric measurements of the deformation response to local removing of the material is substantiated and clearly demonstrated. The methods are based on recording high-quality interferograms, which provide the resolution of interference fringes of the ultimate density directly on the hole edge and along borders of the artificial notch.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>конструктивно подобная модель</kwd><kwd>болтовые соединения</kwd><kwd>остаточные напряжения</kwd><kwd>метод сверления отверстия</kwd><kwd>метод последовательного наращивания длины трещины</kwd><kwd>электронная спекл-интерферометрия</kwd></kwd-group><kwd-group xml:lang="en"><kwd>design-similar model</kwd><kwd>bolted joints</kwd><kwd>residual stress</kwd><kwd>hole drilling technique</kwd><kwd>crack compliance method</kwd><kwd>electronic speckle-pattern interferometry</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при поддержке Российского научного фонда (проект № 24-19-00117).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Ярковец А. И., Сироткин О. С., Фирсов В. А., Киселев Н. М. Технология выполнения высокоресурсных соединений в конструкциях самолетов. — М.: Машиностоение, 1987. — 192 с.</mixed-citation><mixed-citation xml:lang="en">Yarkovets A. I., Sirotkin O. S., Firsov V. A., Kiselev N. M. Manufacturing technology for high fatigue life rivet and bolt joints in aircraft structures. — Moscow: Mashinostroenie, 1987. — 192 p. [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Белов В. К., Калюта А. А., Рудзей Г. Ф. Обеспечение усталостной долговечности авиационных конструкций технологическими методами. — Новосибирск: Изд-во НГТУ, 2012. — 404 с.</mixed-citation><mixed-citation xml:lang="en">Belov V. K., Kaliuta A. A., Rudzey G. F. The provision of fatigue durability of aircraft structures by technology means. — Novosibirsk: Izd. NGTU, 2012. — 404 p. [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Furukawa A., Kamiya K., Hagiwara M. Effect of the Residual Stress on the Fatigue Strength of a Bolt in Bolt/Nut Assemblies (Verification of the hypotheses using an axi-symmetric bolt model) / Journal of Advanced Mechanical Design, Systems, and Manufacturing. 2012. Vol. 6. N 1. P. 189 – 197.</mixed-citation><mixed-citation xml:lang="en">Furukawa A., Kamiya K., Hagiwara M. Effect of the Residual Stress on the Fatigue Strength of a Bolt in Bolt/Nut Assemblies (Verification of the hypotheses using an axi-symmetric bolt model) / Journal of Advanced Mechanical Design, Systems, and Manufacturing. 2012. Vol. 6. N 1. P. 189 – 197.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Yunbo Bi, Jiefeng Jiang, Yinglin Ke. Effect of interference fit size on local stress in single lap bolted joints / Advances in Mechanical Engineering. 2015. Vol. 7. N 6. P. 1 – 12. DOI: 10.1177/1687814015590307</mixed-citation><mixed-citation xml:lang="en">Yunbo Bi, Jiefeng Jiang, Yinglin Ke. Effect of interference fit size on local stress in single lap bolted joints / Advances in Mechanical Engineering. 2015. Vol. 7. N 6. P. 1 – 12. DOI: 10.1177/1687814015590307</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Keith W. J., Ralph W. B. Investigation of residual stress relaxation in cold expanded holes by the slitting method / Engineering Fracture Mechanics. 2017. Vol. 179. P. 213 – 224. DOI: 10.1016/j.engfracmech.2017.05.004</mixed-citation><mixed-citation xml:lang="en">Keith W. J., Ralph W. B. Investigation of residual stress relaxation in cold expanded holes by the slitting method / Engineering Fracture Mechanics. 2017. Vol. 179. P. 213 – 224. DOI: 10.1016/j.engfracmech.2017.05.004</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Unglaub J., Jahns H., Thiele K. Finite element analysis of residual stresses in large cold-rolled threads. XV International Conference on Computational Plasticity. Fundamentals and Applications. COMPLAS 2019 E. Oñate, D. R. J. Owen, D. Peric, M. Chiumenti &amp; Eduardo de Souza Neto (eds.).</mixed-citation><mixed-citation xml:lang="en">Unglaub J., Jahns H., Thiele K. Finite element analysis of residual stresses in large cold-rolled threads. XV International Conference on Computational Plasticity. Fundamentals and Applications. COMPLAS 2019 E. Oñate, D. R. J. Owen, D. Peric, M. Chiumenti &amp; Eduardo de Souza Neto (eds.).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Schajer G. S., To L. Simulation of Infinite Boundaries When Evaluating Hole-Drilling Calibration Data / Experimental Mechanics. 2022. Vol. 62. N 8. P. 1247 – 1255. DOI: 10.1007/s11340-022-00834-w</mixed-citation><mixed-citation xml:lang="en">Schajer G. S., To L. Simulation of Infinite Boundaries When Evaluating Hole-Drilling Calibration Data / Experimental Mechanics. 2022. Vol. 62. N 8. P. 1247 – 1255. DOI: 10.1007/s11340-022-00834-w</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Welch M. Fatigue Analysis of Preloaded Bolted Joints / FME Transactions. 2022. Vol. 50. N 4. P. 607 – 614. DOI: 10.5937/fme2204607W</mixed-citation><mixed-citation xml:lang="en">Welch M. Fatigue Analysis of Preloaded Bolted Joints / FME Transactions. 2022. Vol. 50. N 4. P. 607 – 614. DOI: 10.5937/fme2204607W</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Welch M. An Analytical Study of Asymmetrical Preloaded Bolted Joints / International Journal of Modern Research in Engineering and Technology. 2022. Vol. 7. N 3. P. 6 – 11.</mixed-citation><mixed-citation xml:lang="en">Welch M. An Analytical Study of Asymmetrical Preloaded Bolted Joints / International Journal of Modern Research in Engineering and Technology. 2022. Vol. 7. N 3. P. 6 – 11.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Елеонский С. И., Зайцев М. Д., Матвиенко Ю. Г., Писарев В. С. Поля остаточных напряжений в панели крыла самолета по данным измерения деформационного отклика на локальное удаление материала. 1. Свободные монтажные отверстия / Заводская лаборатория. Диагностика материалов. 2023. Т. 89. № 11. С. 71 – 88.</mixed-citation><mixed-citation xml:lang="en">Eleonsky S. I., Zajtsev M. D., Matvienko Yu. G., Pisarev V. S. Residual stress fields in aircraft wing panel proceeding from measurement of deformation response to local material removing. 2. Filled assemblage holes / Industr. Lab. Mater. Diagn. 2023. Vol. 89. N 11. P. 77 – 88 [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Shchepinov V. P., Pisarev V. S., Novikov S. A., et al. Strain and Stress Analysis by Holographic and Speckle Interferometry. — Chichester: John Wiley, 1996. — 483 p.</mixed-citation><mixed-citation xml:lang="en">Shchepinov V. P., Pisarev V. S., Novikov S. A., et al. Strain and Stress Analysis by Holographic and Speckle Interferometry. — Chichester: John Wiley, 1996. — 483 p.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Pisarev V. S., Odintsev I. N., Eleonsky S. I., Apalkov A. A. Residual stress determination by optical interferometric measurements of hole diameter increments / Optics and Lasers in Engineering. 2018. Vol. 110. P. 437 – 456. DOI: 10.1016/j.optlaseng.2018.06.022</mixed-citation><mixed-citation xml:lang="en">Pisarev V. S., Odintsev I. N., Eleonsky S. I., Apalkov A. A. Residual stress determination by optical interferometric measurements of hole diameter increments / Optics and Lasers in Engineering. 2018. Vol. 110. P. 437 – 456. DOI: 10.1016/j.optlaseng.2018.06.022</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Pisarev V. S., Matvienko Yu. G., Eleonsky S. I., Odintsev I. N. Combining the crack compliance method and speckle interferometry data for determination of stress intensity factors and T-stresses / Engineering Fracture Mechanics. 2017. Vol. 179. P. 348 – 374. DOI: 10.1016/j.engfracmech.2017.04.029</mixed-citation><mixed-citation xml:lang="en">Pisarev V. S., Matvienko Yu. G., Eleonsky S. I., Odintsev I. N. Combining the crack compliance method and speckle interferometry data for determination of stress intensity factors and T-stresses / Engineering Fracture Mechanics. 2017. Vol. 179. P. 348 – 374. DOI: 10.1016/j.engfracmech.2017.04.029</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Matvienko Yu. G., Pisarev V. S., Eleonsky S. I. The effect of low-cycle fatigue on evolution of fracture mechanics parameters in residual stress field caused by cold hole expansion / Frattura ed Integrità Strutturale. 2019. Vol. 47. P. 303 – 320. DOI: 10.3221/IGF-ESIS.47.23</mixed-citation><mixed-citation xml:lang="en">Matvienko Yu. G., Pisarev V. S., Eleonsky S. I. The effect of low-cycle fatigue on evolution of fracture mechanics parameters in residual stress field caused by cold hole expansion / Frattura ed Integrità Strutturale. 2019. Vol. 47. P. 303 – 320. DOI: 10.3221/IGF-ESIS.47.23</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Matvienko Yu., Pisarev V., Eleonsky S. Investigation of fatigue damage accumulation by measurements of deformation response to narrow notch increment / Procedia Structural Integrity. 2020. Vol. 28. P. 584 – 590.</mixed-citation><mixed-citation xml:lang="en">Matvienko Yu., Pisarev V., Eleonsky S. Investigation of fatigue damage accumulation by measurements of deformation response to narrow notch increment / Procedia Structural Integrity. 2020. Vol. 28. P. 584 – 590.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Елеонский С. И., Матвиенко Ю. Г., Писарев В. С., Чернов А. В. Эволюция параметров механики разрушения при малоцикловой усталости по данным моделирования трещины узкими надрезами в окрестности отверстия / Заводская лаборатория. Диагностика материалов. 2020. Т. 86. № 9. С. 52 – 62. DOI: 10.26896/1028-6861-2020-86-9-52-62</mixed-citation><mixed-citation xml:lang="en">Eleonsky S. I., Matvienko Yu. G., Pisarev V. S., Chernov A. V. Evolution of the fracture mechanics parameters in the vicinity of the hole in conditions of low-cycle fatigue according to the data of modeling a crack with narrow notches / Industr. Lab. Mater. Diagn. 2020. Vol. 86. N 9. P. 52 – 62 [in Russian]. DOI: 10.26896/1028-6861-2020-86-9-52-62</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Елеонский С. И., Матвиенко Ю. Г., Писарев В. С., Чернов А. В. Исследование накопления повреждений при малоцикловой усталости по данным измерений локального деформационного отклика / Заводская лаборатория. Диагностика материалов. 2020. Т. 86. № 10. С. 46 – 55. DOI: 10.26896/1028-6861-2020-86-10-46-55</mixed-citation><mixed-citation xml:lang="en">Eleonsky S. I., Matvienko Yu. G., Pisarev V. S., Chernov A. V. Damage accumulation near a hole under low cycle fatigue proceeding from measurements of local deformation response / Industr. Lab. Mater. Diagn. 2020. Vol. 86. N 10. P. 46 – 55 [in Russian]. DOI: 10.26896/1028-6861-2020-86-10-46-5518</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Matvienko Yu. G., Pisarev V. S., Eleonsky S. I. Evolution of fracture mechanics parameters relevant to narrow notch increment as a measure of fatigue damage accumulation / International Journal of Fatigue. 2021. 149. 106310. DOI: 10.1016/j.ijfatigue.2021.106310</mixed-citation><mixed-citation xml:lang="en">Matvienko Yu. G., Pisarev V. S., Eleonsky S. I. Evolution of fracture mechanics parameters relevant to narrow notch increment as a measure of fatigue damage accumulation / International Journal of Fatigue. 2021. 149. 106310. DOI: 10.1016/j.ijfatigue.2021.106310</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Matvienko Yu. G., Pisarev V. S., Eleonsky S. I. Low-cycle fatigue damage accumulation near the cold-expanded hole by crack compliance data / International Journal of Fatigue. 2022. Vol. 155. 106590. DOI: 10.1016/j.ijfatigue.2021.106590</mixed-citation><mixed-citation xml:lang="en">Matvienko Yu. G., Pisarev V. S., Eleonsky S. I. Low-cycle fatigue damage accumulation near the cold-expanded hole by crack compliance data / International Journal of Fatigue. 2022. Vol. 155. 106590. DOI: 10.1016/j.ijfatigue.2021.106590</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Усов С. М., Разумовский И. А., Одинцев И. Н. Исследование неоднородных полей остаточных напряжений способом наращиваемой трещины в сочетании с методом ЭСИ / Заводская лаборатория. Диагностика материалов. 2021. Т. 86. № 10. С. 50 – 58. DOI: 10.26896/1028-6861-2021-87-9-50-58</mixed-citation><mixed-citation xml:lang="en">Usov S. M., Razumovsky I. A., Odintsev I. N. Study of Residual Stress Fields Using Indicating Fracture and the Method of Electron Speckle Interferometry / Inorganic Materials. 2022. Vol. 58. N 15. P. 71 – 77. DOI: 10.1134/S0020168522150146</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
